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1 year ago

What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.

2 answers:

6 0

Transpose all the terms in the left hand side of the equation. The equation then becomes,
8x² - 22x - 6 =0
Divide both sides of the equation by 2,
4x² - 11x - 3 = 0

In this equation, A = 4, B = -11, and C = -3

With the variables identified, the quadratic equation can be used to identify the roots,
x = (-B +/- √B² - 4AC) / 2A
The values of x in the equation are,
 x = 3 and x = -1/4
Thus, the one of the answer to this item is the third choice, x = 3.

bogdanovich [222]1 year ago

6 0

Answer:

b and c

Step-by-step explanation:

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A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°

Radda [10]

A wall is in the shape of a trapezoid and it can be divided into a rectangle and a triangle. A triangle is with angles 45°- 45° - 90°. The hypotenuse of that triangle is 13√2 ft.Using the 45° - 45° - 90° theorem, sides of that triangle are in the proportion:x : x : x√2, and since that x√2 = 13√2 ( hypotenuse ), x = 13.Therefore h = 13 ft.We can check it: c² = 13² + 13²,c² = 169 + 169c² = 338c = √ 338 = 13√2Answer: h = 13 ft

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1 year ago

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A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a co

kolbaska11 [484]

Answer:

Step-by-step explanation:

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

V = U + at

1.2u = u + a*10

=> a = 0.02u

S= ut + (1/2)at²

Distance in 1st 10 secs

S = u(10) + (1/2)(0.02)(10)²

=> S = 10u + u

=> S = 11u m

Constant speed 1.2u for 15 secs

S = 1.2u * 15

=> S = 18u m

Total Distance Covered d = 11u + 18u = 29u m

6 0

1 year ago

The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked each one to record to the n

wariber [46]

Answer:

Mean of the sample = 27.83

The variance of the the sample = 106.96

Standard deviation of the sample = 10.34

Step-by-step explanation:

Step(i):-

Given random sample of six employees

x 26 32 29 16 45 19

mean of the sample

$x^{-} = \frac{26+32+29+16+45+19}{6} = 27.83$

Mean of the given data = 27.83

Step(ii):-

Given data

x : 26 32 29 16 45 19

x - x⁻ : -1.83 4.17 1.17 -11.83 17.17 -8.83

(x - x⁻)² : 3.3489 17.3889 1.3689 139.9489 294.80 77.9689

∑ (x-x⁻)² = 534.8245

Given sample size 'n' =6

The variance of given data

S² = ∑(x-x⁻)² / n-1

$S^{2} = \frac{534.8245}{6-1} = 106.9649$

The variance of the given sample = 106.9649

Step(iii):-

Standard deviation of the given data

$S = \sqrt{variance} = \sqrt{106.9649} =10.3423$

Standard deviation of the sample = 10.3423

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1 year ago

Area of a horse pen= ma (40 meters width & 85 meters in length)

beks73 [17]

Answer:

3400 m2

Step-by-step explanation:

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1 year ago

Assume that a study of 500 randomly selected airplane routes showed that 482 arrived on time. Select the correct interpretation

Westkost [7]

Answer: C. Significant at 0.036

Step-by-step explanation:

Given:

Number of selected samples Ns= 500

Number of airplane that arrive on time Na = 482.

Number of airplane that arrive late Nl = 500 - 482 = 18

The probability that an airplane arrive late:

P(L) = Nl/Ns

P(L) = 18/500

P(L) = 0.036

Interpret an event as significant if its probability is less than or equal to 0.05.

Since P(L) < 0.05

P(L) = Significant at 0.036

4 0

2 years ago